Online GCD Calculator is useful to find the GCD of 114, 225, 203, 332 quickly. Get the easiest ways to solve the greatest common divisor of 114, 225, 203, 332 i.e 1 in different methods as follows.
Given Input numbers are 114, 225, 203, 332
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 203 :
The positive integer divisors of 203 that completely divides 203 are.
1, 7, 29, 203
Divisors of 332 :
The positive integer divisors of 332 that completely divides 332 are.
1, 2, 4, 83, 166, 332
GCD of numbers is the greatest common divisor
So, the GCD (114, 225, 203, 332) = 1.
Given numbers are 114, 225, 203, 332
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 203 are 7 x 29
Prime factors of 332 are 2 x 2 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 114, 225, 203, 332
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 225) = 8550
GCD(114, 225) = ( 114 x 225 ) / 8550
= 114 / 225
= 114
Step2:
LCM(3, 203) = 609
GCD(3, 203) = ( 3 x 203 ) / 609
= 3 / 203
= 3
Step3:
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
= 1 / 332
= 1
So, Greatest Common Divisor of 114, 225, 203, 332 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 225, 203, 332
The greatest common divisor of numbers 114, 225, 203, 332 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 225, 203, 332 is 1.
1. What is the GCD of 114, 225, 203, 332?
GCD of given numbers 114, 225, 203, 332 is 1
2. How to calculate the greatest common divisor of 114, 225, 203, 332?
We can find the highest common divisor of 114, 225, 203, 332 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 114, 225, 203, 332 i.e 1.
3. How can I use the GCD of 114, 225, 203, 332Calculator?
Out the numbers 114, 225, 203, 332 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.